CAT(0)空间中的halpern型近点算法

IF 0.7 4区数学 Q2 MATHEMATICS

Topological Methods in Nonlinear Analysis Pub Date : 2023-07-16 DOI:10.12775/tmna.2022.038

C. C. Okeke

{"title":"CAT(0)空间中的halpern型近点算法","authors":"C. C. Okeke","doi":"10.12775/tmna.2022.038","DOIUrl":null,"url":null,"abstract":"A method which is a combination of the Halpern method and proximal point method\n(PPA) is introduced in this paper. It is proved that the sequence of iterates generated by our method converges strongly \nto a point which is a common solution to some monotone inclusion problem and fixed point problem in CAT$(0)$ spaces under some appropriate conditions.","PeriodicalId":23130,"journal":{"name":"Topological Methods in Nonlinear Analysis","volume":" ","pages":""},"PeriodicalIF":0.7000,"publicationDate":"2023-07-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Halpern-type proximal point algorithm in CAT(0) spaces\",\"authors\":\"C. C. Okeke\",\"doi\":\"10.12775/tmna.2022.038\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"A method which is a combination of the Halpern method and proximal point method\\n(PPA) is introduced in this paper. It is proved that the sequence of iterates generated by our method converges strongly \\nto a point which is a common solution to some monotone inclusion problem and fixed point problem in CAT$(0)$ spaces under some appropriate conditions.\",\"PeriodicalId\":23130,\"journal\":{\"name\":\"Topological Methods in Nonlinear Analysis\",\"volume\":\" \",\"pages\":\"\"},\"PeriodicalIF\":0.7000,\"publicationDate\":\"2023-07-16\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Topological Methods in Nonlinear Analysis\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.12775/tmna.2022.038\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Topological Methods in Nonlinear Analysis","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.12775/tmna.2022.038","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}

引用次数: 0

摘要

本文介绍了一种将Halpern法和近点法相结合的方法。证明了在适当的条件下，我们方法生成的迭代序列强收敛于CAT$（0）$空间中某些单调包含问题和不动点问题的一个公共解。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Halpern-type proximal point algorithm in CAT(0) spaces

A method which is a combination of the Halpern method and proximal point method (PPA) is introduced in this paper. It is proved that the sequence of iterates generated by our method converges strongly to a point which is a common solution to some monotone inclusion problem and fixed point problem in CAT$(0)$ spaces under some appropriate conditions.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Topological Methods in Nonlinear Analysis 数学-数学

CiteScore

1.00

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Topological Methods in Nonlinear Analysis (TMNA) publishes research and survey papers on a wide range of nonlinear analysis, giving preference to those that employ topological methods. Papers in topology that are of interest in the treatment of nonlinear problems may also be included.